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Finding the Fourth Proportional to 73,641, 110,462.64 and 18,237

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Solution

The fourth proportional to 73,641, 110,462.64 and 18,237 is: 27,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,641 : 110,462.64 = 18,237 : x
  2. Step 2: Convert to fraction form
    73,641/110,462.64 = 18,237/x
  3. Step 3: Cross multiply
    73,641x = 110,462.64 × 18,237
  4. Step 4: Simplify right side
    73,641x = 2,014,507,165.68
  5. Step 5: Solve for x
    x = 2,014,507,165.68/73,641
  6. Step 6: Final answer
    x = 27,355.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.